Suppose that X ~ Exp (A) for some X > 0. If Y = X¹/a for some a > 0, show that Y is absolutely continuous by determining the probability density function of Y.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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X1/a for some a > 0,
show that Y is absolutely continuous by determining the probability
density function of Y.
Suppose that X ~ Exp (A) for some À > 0. If Y
=
Transcribed Image Text:X1/a for some a > 0, show that Y is absolutely continuous by determining the probability density function of Y. Suppose that X ~ Exp (A) for some À > 0. If Y =
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